Standard dBB theory predicts that the position distribution of the
particles, averaged over many realizations of an experiment, obeys the so
called “quantum equilibrium” property: it
remains constantly equal to the quantum distribution of probability given by
the square of the wave function (in configuration space). Valentini has
shown [1]}, [2]} that any deviation from quantum equilibrium would
introduce a possibility of superluminal communication: this
equilibrium is a necessary condition for avoiding a contradiction with
relativity. Moreover, Valentini et al.
have shown [3]}, [4]} that,
within the dBB dynamics, the quantum equilibrium is an attractor of the dBB
dynamics: if, for some reason, the distribution of the positions deviates
from the quantum distribution, a fast quantum relaxation process constantly
restores quantum equilibrium.
